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It has been shown by Matthew Daws that the group algebra of a discrete group is never ultra-amenable. We explore the weak analogue to this statement and demonstrate that if any commutative group algebra is ultra-weakly amenable, then the underlying group must necessarily be discrete. By showing...
A group endowed with a topology compatible with the group operations and for which every point has a neighborhood contained in a compact set is called a locally compact group. On such groups, there is a canonical translation invariant Borel measure that one may use to define spaces of...